frac{5}{a^{2}+12 a+36}+frac{8}{a^{2}-36}

Question

Accepted Answer

Step:1 ：Given the complex fraction (frac{5}{a^{2}+12 a+36}+frac{8}{a^{2}-36})Step:2 ：Factorize the denominators of the fractions. The denominator of the first fraction is a quadratic equation which can be factorized into ((a+6)^2). The denominator of the second fraction is a difference of squares which can be factorized into ((a-6)(a+6)).Step:3 ：After factorizing, we can simplify the fraction by adding the numerators and denominators separately to get (frac{13a + 18}{(a - 6)(a + 6)^2})Step:4 ：Final Answer: The simplified form of the given fraction is (boxed{frac{13a + 18}{(a - 6)(a + 6)^2}})

Answer

Step: 1 ：Given the complex fraction (frac{5}{a^{2}+12 a+36}+frac{8}{a^{2}-36})Step: 2 ：Factorize the denominators of the fractions. The denominator of the first fraction is a quadratic equation which can be factorized into ((a+6)^2). The denominator of the second fraction is a difference of squares which can be factorized into ((a-6)(a+6)).Step: 3 ：After factorizing, we can simplify the fraction by adding the numerators and denominators separately to get (frac{13a + 18}{(a - 6)(a + 6)^2})Step: 4 ：Final Answer: The simplified form of the given fraction is (boxed{frac{13a + 18}{(a - 6)(a + 6)^2}})

$\frac{5}{a^{2} + 12 a + 36} + \frac{8}{a^{2} - 36}$

Answer

Popular Problems

5a2+12a+36+8a2−36

Answer

Popular Problems

$\frac{5}{a^{2} + 12 a + 36} + \frac{8}{a^{2} - 36}$